Question

the inches of rainfall on mount waiale on Kauai in Hawaii is represented by the function f(x)=3^x+1-22 scientist are useing equations to study rain fall from year to year​.
Calculate how much rainfall there was in year four and In year nine. You must show all of your work and calculate.

Answer 1

F(x)=3^x+1-22 is the question

Answer 2

Answer:

$\textrm {221 in year 4} \\ \textrm{59027 in year 9}$

Step-by-step explanation:

we are given a function

$\displaystyle f(x) = {3}^{x + 1} - 22$

where x represents the years f(x) represents the amount of rainfall

so to figure out the amount of rainfall in year 4 we can substitute 4 for x

$\displaystyle f(4) = {3}^{4+ 1} - 22$

simplify addition:

$\displaystyle f(4) = {3}^{5} - 22$

simplify square:

$\displaystyle f(4) = 243- 22$

simplify substraction:

$\displaystyle f(4) = 221$

likewise In the year 9

$\displaystyle f(9) = {3}^{9 + 1} - 22$

simplify addition:

$\displaystyle f(9) = {3}^{10} - 22$

simplify square:

$\displaystyle f(9) = 59049 - 22$

simplify Substraction:

$\displaystyle f(9) = 59027$

hence,

there was 221 and 59027 in year four and In year nine